Zakharov–Manakov solution of the 3-wave explosive interaction problem

1983 ◽  
Vol 61 (10) ◽  
pp. 1386-1400 ◽  
Author(s):  
R. H. Enns ◽  
S. S. Rangnekar
Keyword(s):  
Inverse Scattering ◽  
Temporal Evolution ◽  
Inverse Scattering Transform ◽  
Transform Method ◽  
Scattering Transform ◽  
Interaction Problem

The inverse scattering transform method has been applied to the on-resonance 3-wave explosive interaction problem. In particular, the Zakharov–Manakov problem has been solved to yield the complete spatial and temporal evolution of the envelopes of the three waves involved. A comparison with numerically derived envelope shapes is made and the results are discussed.

Application of the inverse scattering transform method to SBBS in an inhomogeneous medium: the Zakharov–Manakov solution

1983 ◽  
Vol 61 (4) ◽  
pp. 604-611 ◽  
Author(s):  
R. H. Enns
Keyword(s):  
Inhomogeneous Medium ◽  
Inverse Scattering ◽  
Temporal Evolution ◽  
Inverse Scattering Transform ◽  
Experimental Setup ◽  
Transform Method ◽  
Light Pulses ◽  
Spatially Inhomogeneous ◽  
Scattering Transform ◽  
Stimulated Brillouin

The inverse scattering transform method has been applied to the stimulated Brillouin backscattering (SBBS) interaction in a weakly spatially inhomogeneous medium. Specifically, the Zakharov–Manakov problem has been solved for examples of both an amplifier and a generator experimental setup yielding the complete spatial and temporal evolution of the light pulses involved. The structure of the resulting pulse shapes is discussed and the results compared with those in the literature.

Application of the inverse scattering transform method to stimulated Brillouin backscattering in a generator setup: The Zakharov–Manakov solution

1981 ◽  
Vol 59 (12) ◽  
pp. 1817-1828 ◽  
Author(s):  
S. S. Rangnekar ◽  
R. H. Enns
Keyword(s):  
Laser Pulse ◽  
Numerical Integration ◽  
Inverse Scattering ◽  
Inverse Scattering Transform ◽  
Transform Method ◽  
Scattering Transform ◽  
Direct Numerical Integration ◽  
Stimulated Brillouin

Making use of the inverse scattering transform method (ISTM), we have solved the Zakharov–Manakov problem for the stimulated Brillouin backscattering (SBBS) of a laser pulse by a fluctuation, the envelopes of both being rectangular. The results are consistent with those obtained by Kaup and co-workers using a combination of direct numerical integration and Zakharov–Shabat analysis.

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